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Finding the Fourth Proportional to 176.50, 264.77 and 73.77

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Solution

The fourth proportional to 176.50, 264.77 and 73.77 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.50 : 264.77 = 73.77 : x
  2. Step 2: Convert to fraction form
    176.50/264.77 = 73.77/x
  3. Step 3: Cross multiply
    176.50x = 264.77 × 73.77
  4. Step 4: Simplify right side
    176.50x = 19,532.08
  5. Step 5: Solve for x
    x = 19,532.08/176.50
  6. Step 6: Final answer
    x = 110.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.